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12426233187420 = 22325137967219697
BaseRepresentation
bin1011010011010011010100…
…1101110000110001011100
31121222221021120000110201100
42310310311031300301130
53112042411143444140
642232311022313100
72421523433225343
oct264646515606134
947887246013640
1012426233187420
113a60a32757188
121488354428790
136c1a33ba8620
1430d60bc16b5a
1516837c8d0530
hexb4d35370c5c

12426233187420 has 144 divisors (see below), whose sum is σ = 41106189720960. Its totient is φ = 3020046501888.

The previous prime is 12426233187419. The next prime is 12426233187421. The reversal of 12426233187420 is 2478133262421.

12426233187420 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 623 + 3 + 18 + 7 + 4 + 2 + 0 = 666.

12426233187420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12426233187419) and next prime (12426233187421).

It is a super-2 number, since 2×124262331874202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426233187421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33424989 + ... + 33794708.

It is an arithmetic number, because the mean of its divisors is an integer number (285459650840).

Almost surely, 212426233187420 is an apocalyptic number.

12426233187420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12426233187420 is an abundant number, since it is smaller than the sum of its proper divisors (28679956533540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12426233187420 is a wasteful number, since it uses less digits than its factorization.

12426233187420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67219804 (or 67219799 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 12426233187420 in words is "twelve trillion, four hundred twenty-six billion, two hundred thirty-three million, one hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 711 780 790 948 1027 1170 1185 1422 1580 2054 2340 2370 2844 3081 3555 4108 4740 5135 6162 7110 9243 10270 12324 14220 15405 18486 20540 30810 36972 46215 61620 92430 184860 67219697 134439394 201659091 268878788 336098485 403318182 604977273 672196970 806636364 873856061 1008295455 1209954546 1344393940 1747712122 2016590910 2419909092 2621568183 3024886365 3495424244 4033181820 4369280305 5243136366 5310356063 6049772730 7864704549 8738560610 10486272732 10620712126 12099545460 13107840915 15729409098 15931068189 17477121220 21241424252 26215681830 26551780315 31458818196 31862136378 39323522745 47793204567 52431363660 53103560630 63724272756 69034628819 78647045490 79655340945 95586409134 106207121260 138069257638 157294090980 159310681890 191172818268 207103886457 238966022835 276138515276 318621363780 345173144095 414207772914 477932045670 621311659371 690346288190 828415545828 955864091340 1035519432285 1242623318742 1380692576380 2071038864570 2485246637484 3106558296855 4142077729140 6213116593710 12426233187420